Geometric phase of three-level systems in interferometry

Barry C. Sanders; Hubert de Guise; Stephen D. Bartlett; Weiping Zhang

doi:10.1103/PhysRevLett.86.369

Geometric phase of three-level systems in interferometry

Barry C. Sanders, Hubert de Guise, Stephen D. Bartlett, Weiping Zhang

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

We present the first scheme for producing and measuring an Abelian geometric phase shift in a three-level system where states are invariant under a non-Abelian group. In contrast to existing experiments and proposals for experiments, based on U(1)-invariant states, our scheme geodesically evolves U(2)-invariant states in a four-dimensional SU(3)/U(2) space and is physically realized via a three-channel optical interferometer.

Original language	English
Pages (from-to)	369-372
Number of pages	4
Journal	Physical Review Letters
Volume	86
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.86.369
Publication status	Published - 2001

Access to Document

10.1103/PhysRevLett.86.369

Cite this

@article{056a5b7a5b884603a0467a2242227e3a,

title = "Geometric phase of three-level systems in interferometry",

abstract = "We present the first scheme for producing and measuring an Abelian geometric phase shift in a three-level system where states are invariant under a non-Abelian group. In contrast to existing experiments and proposals for experiments, based on U(1)-invariant states, our scheme geodesically evolves U(2)-invariant states in a four-dimensional SU(3)/U(2) space and is physically realized via a three-channel optical interferometer.",

author = "Sanders, \{Barry C.\} and \{de Guise\}, Hubert and Bartlett, \{Stephen D.\} and Weiping Zhang",

year = "2001",

doi = "10.1103/PhysRevLett.86.369",

language = "English",

volume = "86",

pages = "369--372",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Geometric phase of three-level systems in interferometry

AU - Sanders, Barry C.

AU - de Guise, Hubert

AU - Bartlett, Stephen D.

AU - Zhang, Weiping

PY - 2001

Y1 - 2001

N2 - We present the first scheme for producing and measuring an Abelian geometric phase shift in a three-level system where states are invariant under a non-Abelian group. In contrast to existing experiments and proposals for experiments, based on U(1)-invariant states, our scheme geodesically evolves U(2)-invariant states in a four-dimensional SU(3)/U(2) space and is physically realized via a three-channel optical interferometer.

AB - We present the first scheme for producing and measuring an Abelian geometric phase shift in a three-level system where states are invariant under a non-Abelian group. In contrast to existing experiments and proposals for experiments, based on U(1)-invariant states, our scheme geodesically evolves U(2)-invariant states in a four-dimensional SU(3)/U(2) space and is physically realized via a three-channel optical interferometer.

UR - https://www.scopus.com/pages/publications/0035121305

U2 - 10.1103/PhysRevLett.86.369

DO - 10.1103/PhysRevLett.86.369

M3 - Article

C2 - 11177833

SN - 0031-9007

VL - 86

SP - 369

EP - 372

JO - Physical Review Letters

JF - Physical Review Letters

IS - 3

ER -

Geometric phase of three-level systems in interferometry

Abstract

Access to Document

Other files and links

Fingerprint

Cite this